TSTP Solution File: ALG289^5 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ALG289^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 30 16:09:12 EDT 2023

% Result   : Timeout 300.06s 300.27s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : ALG289^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n012.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon Aug 28 04:30:55 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TH0
% 0.21/0.50  %------------------------------------------------------------------------------
% 0.21/0.50  % File     : ALG289^5 : TPTP v8.1.2. Released v4.0.0.
% 0.21/0.50  % Domain   : General Algebra (Domain theory)
% 0.21/0.50  % Problem  : TPS problem from PU-LAMBDA-MODEL-THMS
% 0.21/0.50  % Version  : Especial.
% 0.21/0.50  % English  :
% 0.21/0.50  
% 0.21/0.50  % Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.21/0.50  % Source   : [Bro09]
% 0.21/0.50  % Names    : tps_1149 [Bro09]
% 0.21/0.50  
% 0.21/0.50  % Status   : Unknown
% 0.21/0.50  % Rating   : 1.00 v4.0.0
% 0.21/0.50  % Syntax   : Number of formulae    :    6 (   0 unt;   5 typ;   0 def)
% 0.21/0.50  %            Number of atoms       :    8 (   8 equ;   0 cnn)
% 0.21/0.50  %            Maximal formula atoms :    8 (   8 avg)
% 0.21/0.50  %            Number of connectives :   57 (   1   ~;   0   |;  11   &;  35   @)
% 0.21/0.50  %                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
% 0.21/0.50  %            Maximal formula depth :   16 (  16 avg)
% 0.21/0.50  %            Number of types       :    2 (   1 usr)
% 0.21/0.50  %            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
% 0.21/0.50  %            Number of symbols     :    5 (   4 usr;   1 con; 0-2 aty)
% 0.21/0.50  %            Number of variables   :   20 (   0   ^;  14   !;   6   ?;  20   :)
% 0.21/0.50  % SPC      : TH0_UNK_EQU_NAR
% 0.21/0.50  
% 0.21/0.50  % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.21/0.50  %            project in the Department of Mathematical Sciences at Carnegie
% 0.21/0.50  %            Mellon University. Distributed under the Creative Commons copyleft
% 0.21/0.50  %            license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.21/0.50  %------------------------------------------------------------------------------
% 0.21/0.50  thf(a_type,type,
% 0.21/0.50      a: $tType ).
% 0.21/0.50  
% 0.21/0.50  thf(cP,type,
% 0.21/0.50      cP: a > a > a ).
% 0.21/0.50  
% 0.21/0.50  thf(cR,type,
% 0.21/0.50      cR: a > a ).
% 0.21/0.50  
% 0.21/0.50  thf(cL,type,
% 0.21/0.50      cL: a > a ).
% 0.21/0.50  
% 0.21/0.50  thf(cZ,type,
% 0.21/0.50      cZ: a ).
% 0.21/0.50  
% 0.21/0.50  thf(cPU_SETL_CTS_pme,conjecture,
% 0.21/0.50      ( ( ( ( cL @ cZ )
% 0.21/0.50          = cZ )
% 0.21/0.50        & ( ( cR @ cZ )
% 0.21/0.50          = cZ )
% 0.21/0.50        & ! [Xx: a,Xy: a] :
% 0.21/0.50            ( ( cL @ ( cP @ Xx @ Xy ) )
% 0.21/0.50            = Xx )
% 0.21/0.50        & ! [Xx: a,Xy: a] :
% 0.21/0.50            ( ( cR @ ( cP @ Xx @ Xy ) )
% 0.21/0.50            = Xy )
% 0.21/0.50        & ! [Xt: a] :
% 0.21/0.50            ( ( Xt != cZ )
% 0.21/0.50          <=> ( Xt
% 0.21/0.50              = ( cP @ ( cL @ Xt ) @ ( cR @ Xt ) ) ) )
% 0.21/0.50        & ! [X: a > $o] :
% 0.21/0.50            ( ? [Xt: a] :
% 0.21/0.50                ( ( X @ Xt )
% 0.21/0.50                & ! [Xu: a] :
% 0.21/0.50                    ( ( X @ Xu )
% 0.21/0.50                   => ( X @ ( cL @ Xu ) ) ) )
% 0.21/0.50           => ( X @ cZ ) ) )
% 0.21/0.50     => ! [X: a > $o,Xz: a] :
% 0.21/0.50          ( ? [Xz_0: a] : ( X @ ( cP @ Xz @ Xz_0 ) )
% 0.21/0.50        <=> ? [Xx: a] :
% 0.21/0.50              ( ! [Xx_13: a] :
% 0.21/0.50                  ( ! [X0: a > $o] :
% 0.21/0.50                      ( ( ( X0 @ Xx )
% 0.21/0.50                        & ! [Xz0: a] :
% 0.21/0.50                            ( ( X0 @ Xz0 )
% 0.21/0.50                           => ( X0 @ ( cL @ Xz0 ) ) ) )
% 0.21/0.50                     => ? [Xv: a] :
% 0.21/0.50                          ( ( X0 @ Xv )
% 0.21/0.50                          & ( ( cR @ Xv )
% 0.21/0.50                            = Xx_13 ) ) )
% 0.21/0.50                 => ( X @ Xx_13 ) )
% 0.21/0.50              & ? [Xz_1: a] :
% 0.21/0.50                ! [X0: a > $o] :
% 0.21/0.50                  ( ( ( X0 @ Xx )
% 0.21/0.50                    & ! [Xz0: a] :
% 0.21/0.50                        ( ( X0 @ Xz0 )
% 0.21/0.50                       => ( X0 @ ( cL @ Xz0 ) ) ) )
% 0.21/0.50                 => ? [Xv: a] :
% 0.21/0.50                      ( ( X0 @ Xv )
% 0.21/0.50                      & ( ( cR @ Xv )
% 0.21/0.50                        = ( cP @ Xz @ Xz_1 ) ) ) ) ) ) ) ).
% 0.21/0.50  
% 0.21/0.50  %------------------------------------------------------------------------------
% 0.21/0.50  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.nvPMJJa0Ea/cvc5---1.0.5_19798.p...
% 0.21/0.50  (declare-sort $$unsorted 0)
% 0.21/0.50  (declare-sort tptp.a 0)
% 0.21/0.50  (declare-fun tptp.cP (tptp.a tptp.a) tptp.a)
% 0.21/0.50  (declare-fun tptp.cR (tptp.a) tptp.a)
% 0.21/0.50  (declare-fun tptp.cL (tptp.a) tptp.a)
% 0.21/0.50  (declare-fun tptp.cZ () tptp.a)
% 0.21/0.50  (assert (not (=> (and (= (@ tptp.cL tptp.cZ) tptp.cZ) (= (@ tptp.cR tptp.cZ) tptp.cZ) (forall ((Xx tptp.a) (Xy tptp.a)) (= (@ tptp.cL (@ (@ tptp.cP Xx) Xy)) Xx)) (forall ((Xx tptp.a) (Xy tptp.a)) (= (@ tptp.cR (@ (@ tptp.cP Xx) Xy)) Xy)) (forall ((Xt tptp.a)) (= (not (= Xt tptp.cZ)) (= Xt (@ (@ tptp.cP (@ tptp.cL Xt)) (@ tptp.cR Xt))))) (forall ((X (-> tptp.a Bool))) (=> (exists ((Xt tptp.a)) (and (@ X Xt) (forall ((Xu tptp.a)) (=> (@ X Xu) (@ X (@ tptp.cL Xu)))))) (@ X tptp.cZ)))) (forall ((X (-> tptp.a Bool)) (Xz tptp.a)) (= (exists ((Xz_0 tptp.a)) (/export/starexec/sandbox2/solver/bin/do_THM_THF: line 35: 19945 Alarm clock             ( read result; case "$result" in 
% 300.06/300.27      unsat)
% 300.06/300.27          echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 300.06/300.27      ;;
% 300.06/300.27      sat)
% 300.06/300.27          echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 300.06/300.27      ;;
% 300.06/300.27  esac; exit 1 )
% 300.06/300.28  Alarm clock 
% 300.06/300.28  % cvc5---1.0.5 exiting
% 300.06/300.28  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------